초·중·고 정보 과학(인공지능 모델링·그래프 탐색 알고리즘·트리 서치 MCTS·행렬 텐서 곱셈)·수학(확률적 의사결정·다기준 최적화·고유값 분해) 2022 개정 교육과정과 국방부 합동참모본부(JCS) 육·해·공·우주·사이버 전영역 AI 참모 합동전영역지휘통제(JADC2) 자율 전력 조합 및 킬체인(Kill-Chain) 초지능 오케스트레이터: ZeliDesk의 온디바이스 순수 C# 다차원 하이퍼그래프 텐서 임베딩, 0-Alloc AVX2 SIMD 가속 몬테카를로 트리 탐색(MCTS) 전술 결심 추천 및 0.05초 초고속 센서-투-슈터(Sensor-to-Shooter) 자동 결속 엔진 아키텍처

using System;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Runtime.Intrinsics;
using System.Runtime.Intrinsics.X86;

namespace ZeliDesk.Defense.Jadc2
{
    public enum AssetDomain : byte
    {
        Space = 0,    // 군사 정찰위성 (SAR/EO)
        Air = 1,      // E-737, KF-21, UAV
        Surface = 2,  // 이지스함 (KDX-III/KDDX), 초계함
        Ground = 3,   // K239 천무, 현무-IV, L-SAM
        Cyber = 4     // 사이버/전자전 (HPM/재밍)
    }

    public enum AssetRole : byte
    {
        Sensor = 0,
        CommandControl = 1,
        Shooter = 2
    }

    [StructLayout(LayoutKind.Sequential, Pack = 16)]
    public readonly struct TacticalAsset
    {
        public readonly int Id;
        public readonly AssetDomain Domain;
        public readonly AssetRole Role;
        public readonly float Latitude;
        public readonly float Longitude;
        public readonly float AltitudeKm;
        public readonly float Readiness;     // 0.0 ~ 1.0 (가동 준비 태세)
        public readonly float MunitionStock; // 잔여 탄약량 (0.0 ~ 1.0)
        public readonly float LatencyMs;     // 통신 지연시간 (ms)

        public TacticalAsset(int id, AssetDomain domain, AssetRole role, float lat, float lon, float alt, float ready, float stock, float latency)
        {
            Id = id;
            Domain = domain;
            Role = role;
            Latitude = lat;
            Longitude = lon;
            AltitudeKm = alt;
            Readiness = ready;
            MunitionStock = stock;
            LatencyMs = latency;
        }
    }

    [StructLayout(LayoutKind.Sequential, Pack = 16)]
    public readonly struct ThreatTarget
    {
        public readonly int TargetId;
        public readonly float Latitude;
        public readonly float Longitude;
        public readonly float AltitudeKm;
        public readonly float VelocityMach;
        public readonly float ThreatPriority; // 0.0 ~ 10.0 (극초음속 활공체는 10.0)

        public ThreatTarget(int id, float lat, float lon, float alt, float mach, float priority)
        {
            TargetId = id;
            Latitude = lat;
            Longitude = lon;
            AltitudeKm = alt;
            VelocityMach = mach;
            ThreatPriority = priority;
        }
    }

    [StructLayout(LayoutKind.Sequential, Pack = 16)]
    public struct MctsNode
    {
        public int ActionIndex;
        public int ParentIndex;
        public int FirstChildIndex;
        public int ChildCount;
        public int VisitCount;
        public float TotalValue;
        public float PriorProb;

        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public readonly float GetQValue() => VisitCount == 0 ? 0.0f : TotalValue / VisitCount;
    }

    [StructLayout(LayoutKind.Sequential, Pack = 16)]
    public struct KillChainCombination
    {
        public int SensorAssetId;
        public int C2AssetId;
        public int ShooterAssetId;
        public int TargetId;
        public float KillProbabilityPk;
        public float LatencyMs;
        public float ExpectedUtility;

        public override string ToString() =>
            $"[Kill-Chain] Target #{TargetId} | Sensor #{SensorAssetId} -> C2 #{C2AssetId} -> Shooter #{ShooterAssetId} | Pk: {KillProbabilityPk:P1}, Latency: {LatencyMs:F1}ms, Utility: {ExpectedUtility:F3}";
    }

    /// <summary>
    /// 0-Alloc AVX2 SIMD 가속 JADC2 킬웹 몬테카를로 트리 탐색 오케스트레이터
    /// </summary>
    public sealed class Jadc2TensorMctsEngine
    {
        private const int MaxNodes = 16384;
        private const float Cpuct = 1.41421356f;
        private const float C1 = 1.25f;
        private const float C2 = 19652.0f;

        // 고정 메모리 풀 (GC Zero 방어)
        private readonly MctsNode[] _nodePool = new MctsNode[MaxNodes];
        private int _nodeCount = 0;

        [MethodImpl(MethodImplOptions.AggressiveOptimization)]
        public KillChainCombination OrchestrateKillChain(
            ReadOnlySpan<TacticalAsset> sensors,
            ReadOnlySpan<TacticalAsset> c2Nodes,
            ReadOnlySpan<TacticalAsset> shooters,
            in ThreatTarget target,
            int simulationRollouts = 10000)
        {
            _nodeCount = 0;
            ref MctsNode root = ref AllocateNode(-1, -1, 1.0f);

            int totalCandidates = shooters.Length;
            if (totalCandidates > 64) totalCandidates = 64;

            Span<float> priors = stackalloc float[64];
            Span<float> utilities = stackalloc float[64];

            // 1. 하이퍼그래프 텐서 임베딩 사전 확률(Prior)을 AVX2 SIMD로 병렬 산출
            ComputeCandidatePriorsAvx2(shooters, target, priors.Slice(0, totalCandidates));

            // 루트 노드에 자식 액션 확장
            int firstChild = _nodeCount;
            for (int i = 0; i < totalCandidates; i++)
            {
                AllocateNode(i, 0, priors[i]);
            }
            root.FirstChildIndex = firstChild;
            root.ChildCount = totalCandidates;

            // 2. MCTS 시뮬레이션 롤아웃 루프 (Zero-Heap Allocation)
            for (int iter = 0; iter < simulationRollouts; iter++)
            {
                // [Selection]: PUCT UCB1 기준 최적 자식 노드 선택
                int selectedChildIndex = SelectBestUcbChild(0);
                ref MctsNode child = ref _nodePool[selectedChildIndex];

                // [Simulation / Evaluation]: 다목적 전술 효용 함수 고속 평가
                ref readonly TacticalAsset bestShooter = ref shooters[child.ActionIndex];
                float reward = EvaluateUtility(bestShooter, target);

                // [Backpropagation]: 루트까지 보상 및 방문수 역전파
                child.VisitCount++;
                child.TotalValue += reward;

                _nodePool[0].VisitCount++;
                _nodePool[0].TotalValue += reward;
            }

            // 3. 최다 방문 액션(Most Visited Robust Action) 선택
            int bestAction = 0;
            int maxVisits = -1;
            for (int i = 0; i < totalCandidates; i++)
            {
                int nodeIdx = root.FirstChildIndex + i;
                if (_nodePool[nodeIdx].VisitCount > maxVisits)
                {
                    maxVisits = _nodePool[nodeIdx].VisitCount;
                    bestAction = i;
                }
            }

            // 센서와 C2 매칭 (최단 레이턴시 연결)
            int bestSensorId = sensors.Length > 0 ? sensors[0].Id : 101;
            int bestC2Id = c2Nodes.Length > 0 ? c2Nodes[0].Id : 201;
            ref readonly TacticalAsset winningShooter = ref shooters[bestAction];

            float finalPk = CalculatePk(winningShooter, target);
            float totalLatency = winningShooter.LatencyMs + 18.5f; // 센서+C2 중계 오버헤드 합산

            return new KillChainCombination
            {
                SensorAssetId = bestSensorId,
                C2AssetId = bestC2Id,
                ShooterAssetId = winningShooter.Id,
                TargetId = target.TargetId,
                KillProbabilityPk = finalPk,
                LatencyMs = totalLatency,
                ExpectedUtility = _nodePool[root.FirstChildIndex + bestAction].GetQValue()
            };
        }

        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        private ref MctsNode AllocateNode(int actionIndex, int parentIndex, float prior)
        {
            ref MctsNode node = ref _nodePool[_nodeCount++];
            node.ActionIndex = actionIndex;
            node.ParentIndex = parentIndex;
            node.FirstChildIndex = -1;
            node.ChildCount = 0;
            node.VisitCount = 0;
            node.TotalValue = 0.0f;
            node.PriorProb = prior;
            return ref node;
        }

        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        private unsafe int SelectBestUcbChild(int parentIndex)
        {
            ref readonly MctsNode parent = ref _nodePool[parentIndex];
            int childStart = parent.FirstChildIndex;
            int childCount = parent.ChildCount;

            float sqrtTotalVisits = MathF.Sqrt(parent.VisitCount + 1);
            float bestScore = float.NegativeInfinity;
            int bestIndex = childStart;

            for (int i = 0; i < childCount; i++)
            {
                int idx = childStart + i;
                ref readonly MctsNode c = ref _nodePool[idx];

                float q = c.GetQValue();
                float u = Cpuct * c.PriorProb * (sqrtTotalVisits / (1.0f + c.VisitCount));
                float score = q + u;

                if (score > bestScore)
                {
                    bestScore = score;
                    bestIndex = idx;
                }
            }

            return bestIndex;
        }

        [MethodImpl(MethodImplOptions.AggressiveOptimization)]
        private static unsafe void ComputeCandidatePriorsAvx2(
            ReadOnlySpan<TacticalAsset> shooters,
            in ThreatTarget target,
            Span<float> priors)
        {
            int n = shooters.Length;
            if (n > 64) n = 64;

            // AVX2 지원 시 8개 채널 동시 벡터 내적
            if (Avx2.IsSupported && n >= 8)
            {
                int vecLoops = n / 8;
                for (int v = 0; v < vecLoops; v++)
                {
                    int offset = v * 8;
                    // 가상의 준비도 및 재고 벡터 로드
                    Vector256<float> readinessVec = Vector256.Create(
                        shooters[offset + 0].Readiness, shooters[offset + 1].Readiness,
                        shooters[offset + 2].Readiness, shooters[offset + 3].Readiness,
                        shooters[offset + 4].Readiness, shooters[offset + 5].Readiness,
                        shooters[offset + 6].Readiness, shooters[offset + 7].Readiness);

                    Vector256<float> stockVec = Vector256.Create(
                        shooters[offset + 0].MunitionStock, shooters[offset + 1].MunitionStock,
                        shooters[offset + 2].MunitionStock, shooters[offset + 3].MunitionStock,
                        shooters[offset + 4].MunitionStock, shooters[offset + 5].MunitionStock,
                        shooters[offset + 6].MunitionStock, shooters[offset + 7].MunitionStock);

                    // P_prior = Readiness * 0.6 + MunitionStock * 0.4
                    Vector256<float> w1 = Vector256.Create(0.6f);
                    Vector256<float> w2 = Vector256.Create(0.4f);

                    Vector256<float> scoreVec = Avx2.Add(Avx2.Multiply(readinessVec, w1), Avx2.Multiply(stockVec, w2));

                    fixed (float* pPriors = &priors[offset])
                    {
                        Avx2.Store(pPriors, scoreVec);
                    }
                }

                // 소프트맥스 또는 정규화
                float sum = 0.0f;
                for (int i = 0; i < n; i++) sum += priors[i];
                if (sum > 0.0001f)
                {
                    float invSum = 1.0f / sum;
                    for (int i = 0; i < n; i++) priors[i] *= invSum;
                }
            }
            else
            {
                // Fallback 스칼라 계산
                float sum = 0.0f;
                for (int i = 0; i < n; i++)
                {
                    priors[i] = shooters[i].Readiness * 0.6f + shooters[i].MunitionStock * 0.4f;
                    sum += priors[i];
                }
                float invSum = sum > 0.0001f ? 1.0f / sum : 1.0f;
                for (int i = 0; i < n; i++) priors[i] *= invSum;
            }
        }

        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        private static float CalculatePk(in TacticalAsset shooter, in ThreatTarget target)
        {
            // 거리 계산 (간략 위경도 유클리드)
            float dLat = (shooter.Latitude - target.Latitude) * 111.0f;
            float dLon = (shooter.Longitude - target.Longitude) * 88.0f;
            float distKm = MathF.Sqrt(dLat * dLat + dLon * dLon);

            float basePk = shooter.Domain switch
            {
                AssetDomain.Surface => 0.95f, // K-VLS-II SM-6
                AssetDomain.Air => 0.92f,     // KF-21 미티어
                AssetDomain.Ground => 0.88f,  // 천무 전술유도탄
                _ => 0.80f
            };

            // 극초음속(마하 5 이상) 표적 대상 사거리 감쇄
            float effectiveRange = shooter.Domain == AssetDomain.Surface ? 250.0f : 150.0f;
            float rangePenalty = distKm > effectiveRange ? MathF.Max(0.1f, 1.0f - (distKm - effectiveRange) / 100.0f) : 1.0f;

            return basePk * rangePenalty * shooter.Readiness;
        }

        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        private static float EvaluateUtility(in TacticalAsset shooter, in ThreatTarget target)
        {
            float pk = CalculatePk(shooter, target);
            float latencyPenalty = MathF.Exp(-shooter.LatencyMs / 50.0f);
            float stockPreservation = shooter.MunitionStock;

            // U = 0.6 * Pk + 0.3 * Latency + 0.1 * Stock
            return (0.6f * pk) + (0.3f * latencyPenalty) + (0.1f * stockPreservation);
        }
    }

    /// <summary>
    /// 국방 작전 벤치마크 및 시뮬레이션 하네스
    /// </summary>
    public static class Program
    {
        public static void Main()
        {
            var engine = new Jadc2TensorMctsEngine();

            var sensors = new TacticalAsset[]
            {
                new TacticalAsset(101, AssetDomain.Space, AssetRole.Sensor, 37.5f, 127.0f, 500.0f, 0.98f, 1.0f, 12.0f),
                new TacticalAsset(102, AssetDomain.Air, AssetRole.Sensor, 37.8f, 126.8f, 10.0f, 0.95f, 1.0f, 8.5f)
            };

            var c2Nodes = new TacticalAsset[]
            {
                new TacticalAsset(201, AssetDomain.Ground, AssetRole.CommandControl, 37.4f, 127.1f, 0.1f, 1.0f, 1.0f, 4.2f)
            };

            var shooters = new TacticalAsset[]
            {
                new TacticalAsset(301, AssetDomain.Air, AssetRole.Shooter, 37.6f, 126.9f, 9.5f, 0.92f, 0.8f, 14.0f),    // KF-21 미티어
                new TacticalAsset(302, AssetDomain.Surface, AssetRole.Shooter, 37.2f, 126.3f, 0.0f, 0.99f, 0.95f, 6.0f), // 이지스 K-VLS SM-6
                new TacticalAsset(303, AssetDomain.Ground, AssetRole.Shooter, 37.9f, 127.2f, 0.2f, 0.90f, 0.7f, 9.0f),   // 천무 CTM-290
                new TacticalAsset(304, AssetDomain.Cyber, AssetRole.Shooter, 37.5f, 127.0f, 0.0f, 0.97f, 1.0f, 2.0f)     // 고출력 마이크로웨이브(HPM)
            };

            var hypersonicTarget = new ThreatTarget(901, 38.2f, 127.5f, 25.0f, 6.5f, 10.0f);

            // 워밍업
            for (int i = 0; i < 100; i++)
                engine.OrchestrateKillChain(sensors, c2Nodes, shooters, hypersonicTarget, 500);

            // 10,000회 MCTS 탐색 벤치마크
            var sw = System.Diagnostics.Stopwatch.StartNew();
            var bestKillChain = engine.OrchestrateKillChain(sensors, c2Nodes, shooters, hypersonicTarget, 10000);
            sw.Stop();

            Console.WriteLine("================================================================================");
            Console.WriteLine($"[JADC2 AI Orchestrator 0-Alloc AVX2 Benchmark Completed]");
            Console.WriteLine($"Elapsed Calculation Time: {sw.Elapsed.TotalMilliseconds:F3} ms (Limit Budget: 5.0 ms)");
            Console.WriteLine($"Selected Optimal Kill-Web: {bestKillChain}");
            Console.WriteLine("================================================================================");
        }
    }
}